110013434212392 has 224 divisors, whose sum is σ = 309704612323680. Its totient is φ = 36619804045440.

The previous prime is 110013434212351. The next prime is 110013434212433. The reversal of 110013434212392 is 293212434310011.

110013434212392 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 3 + 434 + 212 + 3 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (110013434212351) and next prime (110013434212433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19890330667 + ... + 19890336197.

It is an arithmetic number, because the mean of its divisors is an integer number (1382609876445).

Almost surely, 2^{110013434212392} is an apocalyptic number.

110013434212392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110013434212392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154852306161840).

110013434212392 is an abundant number, since it is smaller than the sum of its proper divisors (199691178111288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110013434212392 is a wasteful number, since it uses less digits than its factorization.

110013434212392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 110013434212392 in words is "one hundred ten trillion, thirteen billion, four hundred thirty-four million, two hundred twelve thousand, three hundred ninety-two".